[790.10795.11 Tensegrity Scenario]
790.10 Definition 
790.14 The gravitational or omnidirectional tension totality in Universe is quantitatively equal to the totality of the radiational or explosive compression of Universe, but the sum total of tensional coherence is more effectively arranged than the sum total of explosively disintegrative forces. This is why Universe is finite. (See Sec. 231.) 
790.15 Barrel: A barrel as the sum total of its staves and its encircling hoop bands illustrates the cosmic gravityvsradiation balance. (See Figs. 705.01.02.) The staves are wedges^{__}each stave is wedged between two other truncatedtriangle wooden staves. When seen in crosssection, each stave is the outerarcchordtruncation segment of a long, thin, isosceles triangle whose inner, sharply pointed sectiontruncated and dispensed with^{__}would have had its apex at the central axis of the barrel. Each stave's outer chord is always a little wider than its inner chord, wherefore the staves cannot fall inward of one another but could very readily move outwardly and apart, were it not for the tension bands that go completely around the barrel and close back on themselves as a finite integrated system. 
790.17 Push and pull, disassociative and associative in omnidirectional balance, characterize the essence of structure. 
790.18 Column: If you load the top center of a thin column, it tends to bend like a bananaits radius of curvature in the bending area gets smaller and smaller. (See Fig. 640.20.) A tensed line tends to get straighter and straighter, though never absolutely straight. Physics has not found any straight lines. Physics has found only waves^{__}the superficially straighter waves being of ever higher frequency and ever shorter wavelength, and always locally and discontinuously particled. 
790.19 Compression tends to break a slender onewavelength column into two columns of two wavelengths, thus tending to focus the ever smaller radius between them into one point, which increases the leverage of either half to consummate the breakage. (See Fig. 640.20G.) 
790.20 By contracting their girth, tensed lines of tension tend to pull their fibers together ever more tightly so that the atoms get nearer to one another^{__}their mass interattractiveness increases as the second power of the decrease in the distance between the atoms. (See Fig. 641.01B.) Tensional strength increases initially, and therewith lies its capability to cope with loading; when the girth contraction rate is exceeded by the elongation of the tension member, the atoms recede from one another and coherence decreases rapidly. 
790.22 The taller a column is in proportion to its midgirth crosssection dimension, the less the load it will bear before it tends to buckle, which means to bend twistingly outward in one direction, and^{__}if further loaded^{__}ultimately to break into two columns. In principle, tension members of structures have no limit ratio of crosssectiontolength. With materials of higher and higher tensile strength it is possible to make longer and longer and thinner and thinner tension cablesapproaching a condition of very great length and no crosssection at all. (See Figs. 641.01CD.) With better and better alloys it is possible to make longer and longer, thinner and thinner, clearspan suspension bridges. People tend erroneously to think of those cables as "solid"^{__}and of the steel as solid^{__}but they are not solid: the atoms are not touching one another. The distances between the nuclei of the atoms and their orbiting electronsas measured in diameters of their nuclei^{__}are approximately the same proportionally as the distance between our star Sun and its planets. The individual atoms are in sufficiently critical proximity to be sustainingly attracted to one another as are the Earth and Moon, which obviously are not touching each other. In aeronautical terms they are all in dynamic "flying formation." As the Earth and the Moon coorbit the Sun, and as the Sun and its planets together are in flight formation in our galactic system's merrygoround, and as the billions of galaxies omnirecede from one another, they are all intersecured by comprehensive mass attraction. The mutual interpull force between Sun, Earth, and Moon is manifest rotationally around opposite sides of the Earth by the twiceaday tides as quadrillions of tons of water are progressively pulled outward from Earth's surface jointly by the Moon and the Sunand then are allowed to subside. In the Milky Way periphery of our galaxy the stars do not touch one another: they are in critical proximity. The Universe itself is held together by tensioninvisible, substanceless tension that allows for local motions and transformations. 
790.23 The same structural laws of Universe operate at both macro and microlevels: they are the structural laws of our planet Earth. 
790.24 Architecture on our planet Earth is the design process of building macrostructures out of microstructures, the building of visible structures out of invisible structures. 
791.00 Cosmic Structuring 
Fig. 791.01 
791.01
With the advent of mathematical calculating capability
into the public domain
only 500 years ago, we had the beginnings of mathematically
derived knowledge of cosmic
structuring principles. To understand the significance
of these principles we begin with
Isaac Newton. Newton was inspired by the prior discoveries
of Kepler, Galileo, and
Copernicus, and he derived his laws of motion from consideration
of their basic concepts,
as follows:

792.00 Design 
792.30 Tension and Compression: Everything we call structure is synergetic and exists only as a consequence of interactions between divergent compressional forces and convergent tension forces. 
792.33 Hexagons consist of six equiangular triangles. Hexagons have six circumferential points and a center point^{__}seven in all^{__}all equidistant from their neighbors. Six rods now huddle in closestpacked tangency around the original rod. (See Fig. 412.01.) And 12 more rods may be huddled around the first seven to complete an additional hexagonal perimeter. Successive perimeters aggregate, each time with six more rods than those of the previous ring. The outermost rods will be tangentially closest packed in triangular stabilization with their neighbors; the rod at the center is at the symmetrical nucleus of the aggregate. We note in nature that the rodlike Earthward trajectories of closely falling, intermassattracted raindrops passing through freezing temperatures nucleate in hexagonal snowflake arrays under just such hexagonal close packing laws. 
Next Section: 793.00 